TGPSC HMWSSB Manager 2015 Paper 2 · Question 65

Question 65 of the TSPSC Manager (Engineering), HMWSSB, 2015: Paper 2 (Civil Engineering) (1 November 2015). Try it first, then open the answer and explanation.

1. Manager 2015 Paper 2 (Civil) · Q65 · Fluid Mechanics & Hydraulics · Fluid Mechanics

   If ψ = 3x²y - y³, the values of u and v are

   1. 6xy, 3x² - 3y²
   2. 3x² - 3y², 6xy
   3. (3x² - 3y²), -6xy
   4. 3y² - 3x², 6xy
   Show answer

   Answer: (3) (3x² - 3y²), -6xy

   With the convention u = ∂ψ/∂y and v = −∂ψ/∂x: u = 3x² − 3y² and v = −6xy. Some Indian textbooks use the opposite sign convention (u = −∂ψ/∂y, v = ∂ψ/∂x), which gives option (4), but the official key follows the first.

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